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Finding the Fourth Proportional to 273,906.36, 410,938.11 and 161,688.96

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Solution

The fourth proportional to 273,906.36, 410,938.11 and 161,688.96 is: 242,579.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,906.36 : 410,938.11 = 161,688.96 : x
  2. Step 2: Convert to fraction form
    273,906.36/410,938.11 = 161,688.96/x
  3. Step 3: Cross multiply
    273,906.36x = 410,938.11 × 161,688.96
  4. Step 4: Simplify right side
    273,906.36x = 66,444,155,630.27
  5. Step 5: Solve for x
    x = 66,444,155,630.27/273,906.36
  6. Step 6: Final answer
    x = 242,579.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.